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Finding the Fourth Proportional to 149,309.05, 206,046.45 and 82,241.05

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Solution

The fourth proportional to 149,309.05, 206,046.45 and 82,241.05 is: 113,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,309.05 : 206,046.45 = 82,241.05 : x
  2. Step 2: Convert to fraction form
    149,309.05/206,046.45 = 82,241.05/x
  3. Step 3: Cross multiply
    149,309.05x = 206,046.45 × 82,241.05
  4. Step 4: Simplify right side
    149,309.05x = 16,945,476,396.77
  5. Step 5: Solve for x
    x = 16,945,476,396.77/149,309.05
  6. Step 6: Final answer
    x = 113,492.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.